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Finding the Fourth Proportional to 1,558.82, 2,151.42 and 969.55

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Solution

The fourth proportional to 1,558.82, 2,151.42 and 969.55 is: 1,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.82 : 2,151.42 = 969.55 : x
  2. Step 2: Convert to fraction form
    1,558.82/2,151.42 = 969.55/x
  3. Step 3: Cross multiply
    1,558.82x = 2,151.42 × 969.55
  4. Step 4: Simplify right side
    1,558.82x = 2,085,900.25
  5. Step 5: Solve for x
    x = 2,085,900.25/1,558.82
  6. Step 6: Final answer
    x = 1,338.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.